2026 AMC 8 第 6 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
6.
Peter 住在一片长满黑莓灌木的长方形田地附近。田地长 米、宽 米，Peter 能摘到距离田地边界 米以内的所有黑莓，如图中阴影部分所示。他能摘到黑莓的区域占整片田地面积的几分之几？
Peter lives near a rectangular field that is filled with blackberry bushes. The field is meters long and meters wide, and Peter can reach any blackberries that are within meter of an edge of the field. The portion of the field he can reach is shaded in the figure below. What fraction of the area of the field can Peter reach?
小提示：
先求出中间不能到达的长方形面积。
Find the unreachable inner rectangle
大提示：
能到达的面积等于整个场地面积减去中间长方形面积。
Reachable area = field area - inner area
视频讲解：
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文字解答：
整个场地面积为 。中间不能到达的长方形长 米、宽 米，面积为 。因此可到达的面积为 ，所求分数为 。
The whole field has area . The unreachable inner rectangle is meters by meters, with area . Thus the reachable area is , and the fraction is .
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